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Finding the Fourth Proportional to 13,645.61, 20,464.06 and 5,323.60

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Solution

The fourth proportional to 13,645.61, 20,464.06 and 5,323.60 is: 7,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.61 : 20,464.06 = 5,323.60 : x
  2. Step 2: Convert to fraction form
    13,645.61/20,464.06 = 5,323.60/x
  3. Step 3: Cross multiply
    13,645.61x = 20,464.06 × 5,323.60
  4. Step 4: Simplify right side
    13,645.61x = 108,942,469.82
  5. Step 5: Solve for x
    x = 108,942,469.82/13,645.61
  6. Step 6: Final answer
    x = 7,983.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.